I dont think there is a set way of learning a song, this is how I do it.
Break the song down into chunks, Intro, Verse, Chorus, Bridge, Outro. Once broken down break each section down again into bars. Work on each bar, get the hang of one bar then work on the next one and etc, etc until you finish the chunk. Once you have one chunk completed move on to the next one and follow the same steps.
Now the next part of the question, playing a song how it is supposed sound. Why would you want to mirror a song????? Why not make it your own with subtle differences but so that it still sounds similar to the orriginal but it is your own.
Have a look at
Easy Songs for Beginners Lessons - Guitar Noise here they break down the song step by step but it is done in a slighty different style to the orriginal. Still sounds close but cool and you cab easily recognise the song if you play a sing a long.
Best of luck